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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=11/2





http://functions.wolfram.com/07.22.03.9645.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {11/2, -(5/4)}, -z] == ((4 z (17445345080625 + 3033973057500 z + 1076955264000 z^2 + 1570271155200 z^3 - 1431606067200 z^4 + 1187374694400 z^5 + 344360222720 z^6 + 14763950080 z^7 + 134217728 z^8) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (52336035241875 - 866849445000 z + 979308792000 z^2 + 1148752281600 z^3 - 873050112000 z^4 + 497693491200 z^5 + 167679098880 z^6 + 7340032000 z^7 + 67108864 z^8) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (157008105725625 - 32506854187500 z + 1879694586000 z^2 + 2794016332800 z^3 + 7956323020800 z^4 - 6474439065600 z^5 + 4427218944000 z^6 + 1362886656000 z^7 + 58921582592 z^8 + 536870912 z^9) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (3756186720000 Sqrt[2] z^(15/4))










Standard Form





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MathML Form







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type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <sep /> 4 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02